On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council.
© 2017 Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified...
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| Format: | Article |
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Elsevier BV
2020
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| Online Access: | https://hdl.handle.net/1721.1/128494 |
| _version_ | 1826193292575899648 |
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| author | Manchester, Ian R. Slotine, Jean-Jacques E |
| author2 | Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences Manchester, Ian R. Slotine, Jean-Jacques E |
| author_sort | Manchester, Ian R. |
| collection | MIT |
| description | © 2017 Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified by a separable metric. Making use of recent results in the theory of positive linear systems and separable Lyapunov functions, we prove several new results showing when this is possible, and discuss the application of to nonlinear distributed control design via convex optimization. |
| first_indexed | 2024-09-23T09:36:41Z |
| format | Article |
| id | mit-1721.1/128494 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:36:41Z |
| publishDate | 2020 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1284942022-09-30T15:40:16Z On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. Manchester, Ian R. Slotine, Jean-Jacques E Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences © 2017 Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified by a separable metric. Making use of recent results in the theory of positive linear systems and separable Lyapunov functions, we prove several new results showing when this is possible, and discuss the application of to nonlinear distributed control design via convex optimization. 2020-11-16T22:06:53Z 2020-11-16T22:06:53Z 2017-07 2019-01-03T14:28:57Z Article http://purl.org/eprint/type/JournalArticle 2405-8963 https://hdl.handle.net/1721.1/128494 Manchester, Ian R. and Jean-Jacques E. Slotine. “On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This Work Was Supported by the Australian Research Council.” IFAC-PapersOnLine 50, 1 (July 2017): 8226–8231. © 2016 IFAC (International Federation of Automatic Control) http://dx.doi.org/10.1016/J.IFACOL.2017.08.1389 IFAC-PapersOnLine Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Manchester, Ian R. Slotine, Jean-Jacques E On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title | On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title_full | On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title_fullStr | On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title_full_unstemmed | On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title_short | On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council. |
| title_sort | on existence of separable contraction metrics for monotone nonlinear systems this work was supported by the australian research council |
| url | https://hdl.handle.net/1721.1/128494 |
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